61355142 has 96 divisors (see below), whose sum is σ = 151463520. Its totient is φ = 17832960.

The previous prime is 61355141. The next prime is 61355179. The reversal of 61355142 is 24155316.

61355142 is a `hidden beast` number, since 613 + 5 + 5 + 1 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61355141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354568 + ... + 354740.

It is an arithmetic number, because the mean of its divisors is an integer number (1577745).

Almost surely, 2^61355142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61355142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75731760).

61355142 is an abundant number, since it is smaller than the sum of its proper divisors (90108378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61355142 is a wasteful number, since it uses less digits than its factorization.

61355142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 275 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 61355142 is about 7832.9523169747. The cubic root of 61355142 is about 394.4121834151.

It can be divided in two parts, 613 and 55142, that added together give a palindrome (55755).

The spelling of 61355142 in words is "sixty-one million, three hundred fifty-five thousand, one hundred forty-two".